45. Imagine the point (0, 1) on the terminal side of an angle. Find the value for the secant of this angle. undefined 0. -1
45. Imagine the point (0, 1) on the terminal side of an angle. Find the value for the secant of this angle. undefined 0. -1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Problem:**
45. Imagine the point \( (0, 1) \) on the terminal side of an angle. Find the value for the secant of this angle.
Options:
- \( \) undefined
- \( \) 1
- \( \) 0
- \( \) -1
**Solution Explanation:**
The secant of an angle is defined as the reciprocal of the cosine of that angle. In the context of a unit circle, the cosine of an angle corresponds to the x-coordinate of a point on the unit circle. Given the point \( (0, 1) \), the x-coordinate is 0.
The cosine, therefore, is 0, making the secant undefined because \(\frac{1}{0}\) is undefined.
Thus, the correct option is "undefined."
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